How do I find an ordered pair when the slope is 3 and the other ordered pair is (-2,6)

Answer 1

Hi Kaykay M.

You can find the line in Slope Intercept Form by using the given slope and coordinates to solve for b

y= mx + b

m = 3

y = 3x + b

Given (-2, 6) you can solve for b

6 = 3(-2) + b

6 = -6 + b

6 + 6 = b

12 = b

Your line in Slope Intercept for is

y = 3x + 12

Your y intercept can be used as your other point or ordered pair.

Can you find your y intercept?

Once you find your y intercept you can check it in the formula for calculating the slope, to see that you get 3.

You can also graph your line at Desmos.com to confirm that both points are on the line.

Answer 2

First you can get the equation of a line with slope 3 and passing through the ordered pair (-2, 6)

Use the point-slope equation for a line: y- y₁ = m(x- x₁) where m is the slope of the line and (x₁, y₁) is the point the line goes through.

Once you have this equation, plug in some x value and obtain a y value.

This will represent another ordered pair